2⁴ × 3 × 7 × 41

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 41

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 41,664

Proper Divisor Sum 27,888

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #13763 ← → #13781

Radix Representation

Decimal	13776
Binary	11010111010000 (14 bits)
Octal	0o32720
Hexadecimal	0x35D0

Divisor Catalog (40)

1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 246 287 328 336 492 574 656 861 984 1,148 1,722 1,968 2,296 3,444 4,592 6,888 13,776

Collatz Trajectory (107 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

13,776 6,888 3,444 1,722 861 2,584 1,292 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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